What is the potential energy of two equal positive point charges of $$1~ \mu \text{C}$$ each held $$1$$ m apart in the air?

 1 $$9 \times 10^{-3}~\text{J}$$ 2 $$9 \times 10^{-3}~\text{eV}$$ 3 $$2~\text{eV/m}$$ 4 zero
Subtopic:  Electric Potential Energy |
76%
From NCERT
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Three charges $$Q$$$$+q$$ and $$+q$$ are placed at the vertices of an equilateral triangle of side $$l$$ as shown in the figure. If the net electrostatic energy of the system is zero, then $$Q$$ is equal to:

 1 $$-\frac{q}{2}$$ 2 $$-q$$ 3 $$+q$$ 4 $$\text{zero}$$
Subtopic:  Electric Potential Energy |
72%
From NCERT
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Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is $\frac{{q}_{3}}{4\pi {\epsilon }_{0}}k$, where k is:

 1 8q2 2 8q1 3 6q2 4 6q1
Subtopic:  Electric Potential Energy |
66%
From NCERT
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If $$50~\text{J}$$ of work must be done to move an electric charge of $$2~\text{C}$$ from a point where the potential is $$-10$$ volt to another point where the potential is $$\mathrm{V}$$ volt, then the value of $$\mathrm{V}$$ is:
1. $$5$$ volt
2. $$-15$$ volt
3. $$+15$$ volt
4. $$+10$$ volt

Subtopic:  Electric Potential |
84%
From NCERT
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Three charges, each $$+q$$, are placed at the corners of an equilateral triangle $$ABC$$ of sides $$BC$$, $$AC$$, and $$AB$$. $$D$$ and $$E$$ are the mid-points of $$BC$$ and $$CA$$. The work done in taking a charge $$Q$$ from $$D$$ to $$E$$ is:

 1 $$\frac{3qQ}{4\pi \varepsilon_0 a}$$ 2 $$\frac{3qQ}{8\pi \varepsilon_0 a}$$ 3 $$\frac{qQ}{4\pi \varepsilon_0 a}$$ 4 $$\text{zero}$$
Subtopic:  Electric Potential |
82%
From NCERT
AIPMT - 2011
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A bullet of mass 2 g is having a charge of 2 µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?
1. 50 kV
2. 5 V
3. 50 V
4. 5 kV

Subtopic:  Electric Potential |
76%
From NCERT
AIPMT - 2004
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Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are:

 1 $$V \neq 0 \text { and } \vec{E} \neq 0$$ 2 $$V \neq 0 \text { and } \vec{E}=0$$ 3 $$V=0 \text { and } \vec{E}=0$$ 4 $$V=0 \text { and } \vec{E} \neq 0$$

Subtopic:  Electric Potential |
77%
From NCERT
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Four electric charges $$+\mathrm q,$$ $$+\mathrm q,$$ $$-\mathrm q$$ and $$-\mathrm q$$ are placed at the corners of a square of side $$2\mathrm{L}$$ (see figure). The electric potential at point A, mid-way between the two charges $$+\mathrm q$$ and $$+\mathrm q$$ is:

1.  $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\frac{1}{\sqrt{5}}\right)$

2.  $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1-\frac{1}{\sqrt{5}}\right)$

3.  zero

4.  $\frac{1}{4{\mathrm{\pi \epsilon }}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\sqrt{5}\right)$

Subtopic:  Electric Potential |
73%
From NCERT
AIPMT - 2011
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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is 10 V, then the potential of the big drop will be:

 1 40 V 2 10 V 3 30 V 4 20 V
Subtopic:  Electric Potential |
74%
From NCERT
AIPMT - 1999
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The increasing order of the electrostatic potential energies for the given system of charges is given by:

 1 a = d < b < c 2 b = d < c < a 3 b = c < a < d 4 c < a < b < d
Subtopic:  Electric Potential |
77%
From NCERT
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